document.write( "Question 752991: In an experiment, mr. Jensen gave x+2 beans to each of his x-2 students. If the experiment requires 1596 beans, how many students are in his class? \n" ); document.write( "

Algebra.Com's Answer #458171 by DrBeeee(684) $\"\"$ $\"About$

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The total number of beans required is the number of beans per student, (x+2), times the number of students, (x-2). This product is given by
\n" ); document.write( "(1) (x+2)*(x-2) = 1596 or
\n" ); document.write( "(2) x^2 - 4 = 1696 or
\n" ); document.write( "(3) x^2 = 1600 or
\n" ); document.write( "(4) x = sqrt(1600) or
\n" ); document.write( "(5) x = 40
\n" ); document.write( "Let's check this with (1).
\n" ); document.write( "Is ((40+2)*(40-2) = 1596)?
\n" ); document.write( "Is (42*38 = 1596)?
\n" ); document.write( "Is (1596 = 1596)? Yes
\n" ); document.write( "The number of students is given by
\n" ); document.write( "(6) (x-2) = 40 - 2 or
\n" ); document.write( "(7) 38
\n" ); document.write( "Answer: There are 38 students in his class. \n" ); document.write( "

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